nLab Sandbox

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https://www.q-innovision.com/quantum-industry-day-january-2025-tii/

$$(a+b+c+d)^4 = (a+b+c)^4+(a+b+d)^4+(a+c+d)^4+(b+c+d)^4 -(a+b)^4-(a+c)^4-(a+d)^4-(b+c)^4-(b+d)^4-(c+d)^4 +a^4+b^4+c^4+d^4 +24 a b c d$$

Loop space of the 2-sphere

• Frederick R. Cohen, J. Wu: On Braid Groups, Free Groups, and the Loop Space of the 2-Sphere, in: Categorical Decomposition Techniques in Algebraic Topology, in Progress in Mathematics 215, Birkhäuser (2003) 93-105 [doi:10.1007/978-3-0348-7863-0_6]

test page?